Search a number
-
+
2554680 = 233561349
BaseRepresentation
bin1001101111101100111000
311210210100210
421233230320
51123222210
6130431120
730500022
oct11575470
94723323
102554680
111495407
12a324a0
136b5a5b
144a7012
15356e20
hex26fb38

2554680 has 64 divisors (see below), whose sum is σ = 7812000. Its totient is φ = 668160.

The previous prime is 2554663. The next prime is 2554711. The reversal of 2554680 is 864552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7146 + ... + 7494.

22554680 is an apocalyptic number.

2554680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906000).

2554680 is an abundant number, since it is smaller than the sum of its proper divisors (5257320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2554680 is a wasteful number, since it uses less digits than its factorization.

2554680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2554680 is about 1598.3366353807. The cubic root of 2554680 is about 136.7032488494.

The spelling of 2554680 in words is "two million, five hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 349 366 488 610 698 732 915 1047 1220 1396 1464 1745 1830 2094 2440 2792 3490 3660 4188 5235 6980 7320 8376 10470 13960 20940 21289 41880 42578 63867 85156 106445 127734 170312 212890 255468 319335 425780 510936 638670 851560 1277340 2554680